SOLUTION: Hockey teams receive 2 points when they win and 1 point when the tie. One season, a team won a championship with 61 points. They won 11 more games than they tied. How many wins and

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First define a couple of variables:
W = # of wins
T = # of ties
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Now, write equations based on the given information. You know that the team won eleven more games then they tied, so you can write:
Equation #1:
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You are given that the team had a total of 61 points for the season, and that wins count for twice as much as ties. So you can write:
Equation #2:
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You now have 2 equations with 2 unknowns. Any time you have at least as many equations as unknowns, you can solve the problem!
Substitute the expression for W from Equation #1 into Equation #2:

Solve for T:



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Put this value of T back into Equation #1 to get the number of wins:


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Good Luck,
tutor_paul@yahoo.com

You can put this solution on YOUR website!
Let = the number of wins
Let = the number of ties
given:
(1)
(2)
Substitute in (1) for in (2)






The team had 24 wins and 13 ties
check:




OK